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Finding the Third Proportional to 9,452 and 20,398

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Solution

The third proportional to 9,452 and 20,398 is: 44,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452 : 20,398 = 20,398 : x
  2. Step 2: Convert to fraction form
    9,452/20,398 = 20,398/x
  3. Step 3: Cross multiply
    9,452x = 20,398 × 20,398
  4. Step 4: Simplify right side
    9,452x = 416,078,404
  5. Step 5: Solve for x
    x = 416,078,404/9,452
  6. Step 6: Final answer
    x = 44,020.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.